On massive vector bosons and Abelian magnetic monopoles in D = (3 + 1): a possible way to quantize the topological mass parameter

An Abelian gauge model, with vector and 2-form potential; fields linked by a topological mass term that mixes the two Abelian factors, is shown to exhibit Dirac-like magnetic monopoles in the presence of a matter background. In addition, considering a 'non-minimal coupling' between the fermions and the tensor fields, we obtain a generalized quantisation condition that involves, among others, the mass parameter. Also, it is explicitly shown that 1loop (finite) corrections do no shift the value of such a mass parameter. (author)